Colors of
variables: wff
setvar class |
Syntax hints:
↔ wb 205 ∧ wa 394
= wceq 1533 ∈
wcel 2098 ⊆ wss 3939
∘ ccom 5676 Rels
crels 37707 TrRels ctrrels 37719 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-ext 2696 ax-sep 5294 ax-nul 5301 ax-pr 5423 |
This theorem depends on definitions:
df-bi 206 df-an 395
df-or 846 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-sb 2060 df-clab 2703 df-cleq 2717 df-clel 2802 df-ral 3052 df-rex 3061 df-rab 3420 df-v 3465 df-dif 3942 df-un 3944 df-in 3946 df-ss 3956 df-nul 4319 df-if 4525 df-pw 4600 df-sn 4625 df-pr 4627 df-op 4631 df-br 5144 df-opab 5206 df-xp 5678 df-rel 5679 df-cnv 5680 df-co 5681 df-dm 5682 df-rn 5683 df-res 5684 df-rels 38013 df-ssr 38026 df-trs 38100 df-trrels 38101 |
This theorem is referenced by: eltrrelsrel
38109 |